How many can we choose 8 people out of 30 to be send to a conference

Q: How many different choices of 5 toppings are there

A: Given Data: The total number of toppings is: n = 6 Required choice of toppings is: r = 5   This…

Q: A restaurant offers a $12 dinner special that has 7 choices for an appetizer, 12 choices for an…

A: Given:         Choices for appetizers = 7         Choices for entree = 12         Choices for…

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Combination: According to the combination rule, if r distinct items are to be chosen from n items…

Q: A club consists of 48 members. The club needs to choose a president, a vice president, a secretary,…

A: From the given information, there are 48 members. The club need to choose a president, a vice…

Q: How many different sets of three candies can you select?

A: A candy jar has 10 different candies in it three candies are selected from jar

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: Nine students are to be seated in a row of chairs. How many arrangements are possible if 3 students…

A:

Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: Given Data: The number of different pastries in the display is: n=12 The number of choices is…

Q: The student council at a high school consists of 12 seniors, 6 juniors, 3 sophomores, and 2…

A: We have to find no. Of combination possible.

Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: 55 elementary classes will be chosen to participate in a school activities survey. There are 2323…

A:

Q: Rental cars belong to one of eight classifications depending on type and size. How many cars does a…

A:

Q: There are 24 wheels total among a group of wagons and bicycles.  How many bicycles are there? How…

A: Let the number of bicycles be B and the number of wagons be W. There are two wheels in a bicycle, so…

Q: A blood bank needs 5 people to help with a blood drive. 17 people have volunteered. Find how many…

A: A blood bank needs 5 people to help with a blood drive. 17 people have volunteered.

Q: A College plans to interview 8 students for possible offers of a graduate assistantship. The college…

A: given, number of students= 8

Q: In Ms. Noime's math class there are 15 students out of which 4 will be selected to receive a special…

A: In question, Given that In Ms. Noime's math class there are 15 students out of which 4 will be…

Q: There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 12 finalists in a singing competition. The top four singers receive prizes.

Q: There are 45 runners in a race. How many ways can the runners finish​ first, second, and​ third?

A: There are 45 runners in a race. The number of ways can the runner finish first, second and third is:…

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: There are 14 finalists in a singing competition. The top six singers receive prizes. How many ways…

A: Given data: 14 = finalists  in singing competition Top six singers receives price. To find: How many…

Q: How many commities of 7 people can be formed from a pool of 30 people

A: Solution: The objective is to find how many committees of 7 people can be formed from a pool of 30…

Q: 27 cars are in a race . How many different ways can cars finish in the top 4 positions?

A: Solution Given 27 cars are in race .to find different many ways can cars finish in the top 4…

Q: here are 6 contestants in a singing contest grand final. How many ways can we choose a grand…

A: Given there are 6 contestants in a singing contest grand final.

Q: There are 24 students in the senior class. Four of the students will be chosen to be the President,…

A: There are total 24 students. We need to select one  President, Vice-President, Secretary, and…

Q: our children are chosen from a class of 30 for a survey.

A: Given that  Total children in class (n) = 30 Number of children to choose (r) = 4   By Combinations…

Q: A secretary & a treasurer of a club are to be selected from 4 different members. How many ways can…

A:

Q: There are 15 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: Given data, Number of finalists in a singing competition n=15  The top four singers receive prizes.…

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: A researcher wanted to test eight specific drugs and he had enough animals to test five drugs. How…

A: It is an important part of statistics. It is widely used.

Q: How many committees of 10 people can be formed out of 29 people

A: Given that 10 people of committees can be formed out of 29 people

Q: There are 10 candidates for a job. a. How many ways can we pick 2 of the candidates for the same…

A:

Q: There are 42 runners in a race. How many ways can the runners finish​ first, second, and​ third?…

A: Permutation: The number of permutations of r items selected from n items is, Prn=n!n-r! It is clear…

Q: in a horse race how many different finishes amongst the first three places if 16 horses are running?

A:

Q: 8. In a beauty contest, there are 12 semi-finalist from which 5 winners will be chosen. How many…

A: Here we have to choose 5 winner among 12 semi finalists as shown below

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A:

Q: Six boys and five girls seat in round table. How many ways can we arrange them boys have to seat…

A:

Q: A student must take 4 electives from a set of 10 electives. How many ways can the student choose the…

A: Solution-: Given: n=10, r=4 We want to find how many ways can the student choose the electives.

Q: There are 58runners in a race. How many ways can the runners finish​ first, second, and​ third? How…

A: From the provided information, There are 58 runners in a race. The runners finish first, second and…

Q: There are 220 students in the senior class. Four of the students will be chosen to be the President,…

A:

Q: 6 students are selected from a group of 13 students for prizes. How many different selected if they…

A: Given  Total students =13 Number of students to be selected from the group =6

Q: How many ways can we award a 1st, 2nd, and 3rd prize among 5 contestants?

A: The total number of contestants is 5. To find the number of ways can we award a 1st, 2nd and 3rd.…

Q: 8 toppings for pizza are available. In how many ways can Jim choose 2 of the toppings

A: There are 8 toppings for pizza.  To evaluate in how many ways can Jim choose 2 of the toppings.  It…

Q: A poker hand consists of 5 cards selected from a deck of 52 cards. How many poker hands consists of…

A: Here, order does not matters. Therefore combination rule can be applied.

Q: A blood bank needs 7 people to help with a blood drive. 13 people have volunteered. Find how many…

A: We have to find no. of different combinations possible.

Q: different groups can the gold, silver, and bronze medals be awarded?

A: Here given 7 sprinters have made it to the Olympic finals in the 100-meter race.

Q: There are 89 students in the senior class. Four of the students will be chosen to be the President,…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: There are 49 cards in a card game deck . How many cards in 14 decks ?

A: We have given that there are 49 cards in a card game deck.

Q: How many choices of 5 pocketbooks to read can be made from a set of nine pocketbooks?

A: The combination means a number of ways of selecting some items from the total number of items. For…

Q: 6. Last year, 12 bands marched in the parade. This year, 9 bands marched in the parade. How many…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many different strings can be made from the letter s in Mississippi ⦁ How many different string…

A: The number of ways n items can be arranged, out of which p items are of one kind and q items are of…